7. A braced cut in sand is shown in the following figure. The height and width of the cut are 10 m and 8 m, respectively. (1) Draw the earth pressure envelope using Peck's apparent lateral pressure diagrams. (2) Determine the strut load at levels A, B, C. the spacing between struts is 3 m. (3) Determine the maximum moment of the soldier beam. (4) Determine the maximum moment of the wale at level B. Bearing capacity equation: q=dNFFF+qN F F F +0.57BN,F_F_F Equations and Tables: K. 1-sino' K≈ 0.95-sin o' Shape factors by De Depth factors by Hansen (1970) Beer (1970) Inclination factors by Meyerhof (1963) and Hanna and Meyerhof (1981) Fo=1+(/XN) Fo=1+0.4(1) B F=1+(-) tan L F, =1-0.4(-) Fâ = 1+ 2 tan ø'(1 − sin ø')² D½ F₁ =1 F₁ = F₁ = (1-2 F₁ = (1-2)² 90° Table 4.2 Bearing Capacity Factors $' NC Na N₁ Κ. K o(overconsolidate) o(normally consolidated) √OCR 0 5.14 1.00 0.00 I 5.38 1.09 0.07 2 5.63 1.20 0.15 3 5.90 1.31 0.24 K. = tan² (45-%) cosa-√cos a-cos² ' Ka =COS& K₁ = cos a cosa + √cos² a-cos² ' COSC = cosa + √cos a- - cos² o' cos² a-cos² ' 10 11 12 K₁ = sin² (B+) 13 sin² ẞ sin(ẞ-8)[1+ sin('+ +♂) sin(ø' − a). sin(B-8) sin(a + B) 14 2 15 456789DER45 6.19 1.43 0.34 6.49 1.57 0.45 6.81 1.72 0.57 7.16 1.88 0.71 7.53 2.06 0.86 7.92 2.25 1.03 8.35 2.47 1.22 8.80 2.71 1.44 9.28 2.97 1.69 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 16589822222222222 N Na N₁ 11.63 4.34 3.06 17 12.34 4.77 3.53 13.10 5.26 4.07 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 23 18.05 8.66 8.20 24 19.32 9.60 9.44 20.72 10.66 10.88 22.25 11.85 12.54 27 23.94 13.20 14.47 25.80 14.72 16.72 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) Kp == sin² (B-) sin ẞ sin(ẞ+6)[1- sin('+5) sin('+α) 12 Vsin(+6) sin(a+B) Table 4.2 Bearing Capacity Factors (Continued) $' N Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22
7. A braced cut in sand is shown in the following figure. The height and width of the cut are 10 m and 8 m, respectively. (1) Draw the earth pressure envelope using Peck's apparent lateral pressure diagrams. (2) Determine the strut load at levels A, B, C. the spacing between struts is 3 m. (3) Determine the maximum moment of the soldier beam. (4) Determine the maximum moment of the wale at level B. Bearing capacity equation: q=dNFFF+qN F F F +0.57BN,F_F_F Equations and Tables: K. 1-sino' K≈ 0.95-sin o' Shape factors by De Depth factors by Hansen (1970) Beer (1970) Inclination factors by Meyerhof (1963) and Hanna and Meyerhof (1981) Fo=1+(/XN) Fo=1+0.4(1) B F=1+(-) tan L F, =1-0.4(-) Fâ = 1+ 2 tan ø'(1 − sin ø')² D½ F₁ =1 F₁ = F₁ = (1-2 F₁ = (1-2)² 90° Table 4.2 Bearing Capacity Factors $' NC Na N₁ Κ. K o(overconsolidate) o(normally consolidated) √OCR 0 5.14 1.00 0.00 I 5.38 1.09 0.07 2 5.63 1.20 0.15 3 5.90 1.31 0.24 K. = tan² (45-%) cosa-√cos a-cos² ' Ka =COS& K₁ = cos a cosa + √cos² a-cos² ' COSC = cosa + √cos a- - cos² o' cos² a-cos² ' 10 11 12 K₁ = sin² (B+) 13 sin² ẞ sin(ẞ-8)[1+ sin('+ +♂) sin(ø' − a). sin(B-8) sin(a + B) 14 2 15 456789DER45 6.19 1.43 0.34 6.49 1.57 0.45 6.81 1.72 0.57 7.16 1.88 0.71 7.53 2.06 0.86 7.92 2.25 1.03 8.35 2.47 1.22 8.80 2.71 1.44 9.28 2.97 1.69 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 16589822222222222 N Na N₁ 11.63 4.34 3.06 17 12.34 4.77 3.53 13.10 5.26 4.07 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 23 18.05 8.66 8.20 24 19.32 9.60 9.44 20.72 10.66 10.88 22.25 11.85 12.54 27 23.94 13.20 14.47 25.80 14.72 16.72 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) Kp == sin² (B-) sin ẞ sin(ẞ+6)[1- sin('+5) sin('+α) 12 Vsin(+6) sin(a+B) Table 4.2 Bearing Capacity Factors (Continued) $' N Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter15: Braced Cuts
Section: Chapter Questions
Problem 15.11P
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